10202000012010 has 48 divisors (see below), whose sum is σ = 26525868671016. Its totient is φ = 2720464758144.

The previous prime is 10202000011963. The next prime is 10202000012023. The reversal of 10202000012010 is 1021000020201.

10202000012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6701849196849 + 3500150815161 = 2588793^2 + 1870869^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10202000011983 and 10202000012001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212732 + ... + 5029928.

Almost surely, 2^{10202000012010} is an apocalyptic number.

10202000012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202000012010 is an abundant number, since it is smaller than the sum of its proper divisors (16323868659006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202000012010 is a wasteful number, since it uses less digits than its factorization.

10202000012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857447 (or 2857444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202000012010 its reverse (1021000020201), we get a palindrome (11223000032211).

The spelling of 10202000012010 in words is "ten trillion, two hundred two billion, twelve thousand, ten".